Cremona's table of elliptic curves

46368 = 2⁵ · 3² · 7 · 23

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 23+	Signs for the Atkin-Lehner involutions
Class	46368t	Isogeny class
Conductor	46368	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	14336	Modular degree for the optimal curve
Δ	-1554904512 = -1 · 26 · 38 · 7 · 232	Discriminant
Eigenvalues	2+ 3-  2 7-  0  0  0  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,51,-1892]	[a1,a2,a3,a4,a6]
Generators	[1161:39560:1]	Generators of the group modulo torsion
j	314432/33327	j-invariant
L	7.3514986652296	L(r)(E,1)/r!
Ω	0.71386305967303	Real period
R	5.1490958704238	Regulator
r	1	Rank of the group of rational points
S	1.0000000000012	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	46368bk1 92736cc1 15456v1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 46368t1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-	2	-	0	0	0	2	+	-6	-6	-6	2	0	6	10	-12	2	-8	-4	14	-8	6	-12	-8

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Quadratic twists for elliptic curve 46368t1

-4	8	-3
46368bk1	92736cc1	15456v1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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